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Q4: Given the circles S, =x + y* - 6y – 40 = 0 & S2 = x + y - 8x + 12 = 0; a) Determine the radius and the coordinates of the center of both circles. b) Do these circles touch, and if they do is this contact external or internal?

Q4: Given the circles S, =x + y* - 6y – 40 = 0 & S2 = x + y - 8x + 12 = 0; a) Determine the radius and the coordinates of the center of both circles. b) Do these circles touch, and if they do is this contact external or internal?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Q4: Given the circles ?1 ≔ ?2 + ?2 − 6? − 40 = 0 & ?2 ≔ ?2 + ?2 − 8? + 12 = 0; a) Determine the radius and the coordinates of the center of both circles. b) Do these circles touch, and if they do is this contact external or internal? (Please check image below for Question) Q4
ull 48 LTE 07:36 24% O A 1-xythos.content.blackboardcdn.com 2 of 2 Q1: Sketch the graphs of the following functions over the given ranges; a) 3y = 2(x + 2) over -3 sx S 3. b) y = x? +x – 12 over -5 < x<6. c) y = x(1 - x) – 1 over -3 <I<4. Q2: Given the points P = (-2,3) & P2 = (1,–1); a) What is the distance between the two points? b) What is the slope of the line between them? c) Determine the equation of the line between them. Q3: Given the points P3 = (-5,1) & P = (3,–3); a) Determine the coordinates of the point M, which is the mid-point of P3P4- b) Determine the equation of the line L passing through M orthogonally to P3P4- c) What is the distance between the line L and the point P = (1,4)? Give your answer both in an exact form and to 3 significant digit accuracy. Q4: Given the circles S, =x + y - 6y – 40 = 0 & S, = x +y - 8x + 12 = 0; a) Determine the radius and the coordinates of the center of both circles. b) Do these circles touch, and if they do is this contact external or internal? Q5: The center of the circle S is the point that divides the line from (1,-5) to (4,1) in the ratio 2:1, and S also passes through the point P = (6,3); a) What is the equation of the circle S? b) What is the equation of the tangent to S at the point P? After marking, your marks and any comments will immediately be available to you in 'My Grades', and after all marking is complete a summary for the whole group of the results on this assignment and the current overall totals will be published.
Transcribed Image Text:ull 48 LTE 07:36 24% O A 1-xythos.content.blackboardcdn.com 2 of 2 Q1: Sketch the graphs of the following functions over the given ranges; a) 3y = 2(x + 2) over -3 sx S 3. b) y = x? +x – 12 over -5 < x<6. c) y = x(1 - x) – 1 over -3 <I<4. Q2: Given the points P = (-2,3) & P2 = (1,–1); a) What is the distance between the two points? b) What is the slope of the line between them? c) Determine the equation of the line between them. Q3: Given the points P3 = (-5,1) & P = (3,–3); a) Determine the coordinates of the point M, which is the mid-point of P3P4- b) Determine the equation of the line L passing through M orthogonally to P3P4- c) What is the distance between the line L and the point P = (1,4)? Give your answer both in an exact form and to 3 significant digit accuracy. Q4: Given the circles S, =x + y - 6y – 40 = 0 & S, = x +y - 8x + 12 = 0; a) Determine the radius and the coordinates of the center of both circles. b) Do these circles touch, and if they do is this contact external or internal? Q5: The center of the circle S is the point that divides the line from (1,-5) to (4,1) in the ratio 2:1, and S also passes through the point P = (6,3); a) What is the equation of the circle S? b) What is the equation of the tangent to S at the point P? After marking, your marks and any comments will immediately be available to you in 'My Grades', and after all marking is complete a summary for the whole group of the results on this assignment and the current overall totals will be published.
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